"Something is happening that's amazing," he said. "We're getting millions and millions of people that have never voted before, millions of people from the Democrats, millions of people from the independents."

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Trump also pointed to the "great talk" he had with House Speaker Paul Ryan as an example of the type of bridge-building the Republican Party should be doing.

"(Ryan) called the other day, he was so great. That's what we should be doing. We should be talking and unifying," Trump said. "I like him a lot, I respect him a lot, and I think he respects me, I think he really does respect what I've done. I mean, he said it, it's amazing. He said it's amazing. Look, they're talking about it all over the world."

And the GOP front-runner argued that his candidacy alone provided the opportunity to expand the party and win in the general election, singling out his primary rival Texas Sen. Ted Cruz.